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Experiments on critical Reynolds number and global instability in roughness-induced laminar–turbulent transition

Published online by Cambridge University Press:  13 April 2018

Dominik K. Puckert Open the ORCID record for Dominik K. Puckert [Opens in a new window]  and
Ulrich Rist
Dominik K. Puckert*
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70569 Stuttgart, Germany
Ulrich Rist
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70569 Stuttgart, Germany
*
†Email address for correspondence: [email protected]
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Abstract

The effects of isolated, cylindrical roughness elements on laminar–turbulent transition in a flat-plate boundary layer are investigated in a laminar water channel. Our experiments aim at providing a comparison to global linear stability theory (LST) by means of hot-film anemometry and particle image velocimetry. Although the critical Reynolds number from theory does not match the transition Reynolds number observed in experiments, there are distinct experimental observations indicating a changeover from purely convective to absolute/global instability very close to the critical Reynolds number predicted by theory. Forcing with a vibrating wire reveals the evolution of the system dynamics from an amplifier to a wavemaker when the critical Reynolds number is exceeded. The mode symmetry is varicose for thick roughness elements and a changeover from varicose to sinuous modes is observed at the critical Reynolds number for thin roughness elements. Therefore, most predictions by global LST can be confirmed, but additional observations in the physical flow demonstrate that not all features can be captured adequately by global LST.

JFM classification

Instability: Absolute/convective instability Boundary Layers: Boundary layer stability Instability: Transition to turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 844 , 10 June 2018 , pp. 878 - 904
Copyright
© 2018 Cambridge University Press 

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Puckert et al. supplementary movie

Time-resolved PIV measurements of the $xz$-plane sampled at 10 Hz with $eta=1$, $x_k=166.4$ at increasing freestream velocity.

Download Puckert et al. supplementary movie(Video)
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